10053648 has 90 divisors (see below), whose sum is σ = 30980222. Its totient is φ = 3041280.

The previous prime is 10053611. The next prime is 10053649. The reversal of 10053648 is 84635001.

10053648 is a `hidden beast` number, since 10 + 0 + 5 + 3 + 648 = 666.

It can be written as a sum of positive squares in only one way, i.e., 10036224 + 17424 = 3168^2 + 132^2 .

It is not an unprimeable number, because it can be changed into a prime (10053649) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 17136 + ... + 17712.

Almost surely, 2^10053648 is an apocalyptic number.

10053648 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10053648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15490111).

10053648 is an abundant number, since it is smaller than the sum of its proper divisors (20926574).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10053648 is a wasteful number, since it uses less digits than its factorization.

10053648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 613 (or 593 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 10053648 is about 3170.7488074586. The cubic root of 10053648 is about 215.8280524573.

Adding to 10053648 its reverse (84635001), we get a palindrome (94688649).

It can be divided in two parts, 10053 and 648, that added together give a palindrome (10701).

The spelling of 10053648 in words is "ten million, fifty-three thousand, six hundred forty-eight".